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3894774240 = 253572939971
BaseRepresentation
bin1110100000100101…
…1000100111100000
3101001102201000211210
43220021120213200
530434030233430
61442250310120
7165342014640
oct35011304740
911042630753
103894774240
111719553595
12908428340
134a0b9b456
1428d3a2520
1517bddc2b0
hexe82589e0

3894774240 has 192 divisors, whose sum is σ = 14505039360. Its totient is φ = 859514880.

The previous prime is 3894774209. The next prime is 3894774259. The reversal of 3894774240 is 424774983.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3894774240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77455 + ... + 117425.

It is an arithmetic number, because the mean of its divisors is an integer number (75547080).

Almost surely, 23894774240 is an apocalyptic number.

3894774240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252519680).

3894774240 is an abundant number, since it is smaller than the sum of its proper divisors (10610265120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3894774240 is a wasteful number, since it uses less digits than its factorization.

3894774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40025 (or 40017 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3894774240 is about 62408.1263939241. The cubic root of 3894774240 is about 1573.3575541293.

The spelling of 3894774240 in words is "three billion, eight hundred ninety-four million, seven hundred seventy-four thousand, two hundred forty".